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Some analytical results about two physical models of phyllotaxis

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Abstract

We present analytical results about a generalization of the variational problem of Levitov and the experiment of Douady and Couder. We show that the hierarchical selection of noble numbers in these systems occurs with a precision depending on the range of the interaction. This precision can be infinite if the interaction is scale invariant.

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Authors and Affiliations

  1. Institut de Physique Expérimentale, Université de Lausanne, CH-1015, Lausanne, Switzerland

    M. Kunz

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  1. M. Kunz
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Communicated by A. Jaffe

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Kunz, M. Some analytical results about two physical models of phyllotaxis. Commun.Math. Phys. 169, 261–295 (1995). https://doi.org/10.1007/BF02099473

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  • DOI: https://doi.org/10.1007/BF02099473

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